Results 51 to 60 of about 16,590,082 (290)

On coupled fixed point results in asymmetric G-metric spaces [PDF]

Journal of Inequalities and Applications, 2013
Abstract Using a combination of techniques introduced by Jleli and Samet (Fixed Point Theory Appl. 2012:210, 2012) and Samet et al. (Int. J. Anal. 2013:917158, 2013) on the one hand, and by Kadelburg et al. (Bull. Math. Anal. Appl. 4:51-63, 2012) on the other hand, we show that several coupled fixed point results in (ordered) G-metric spaces ...
Agarwal, Ravi P, Kadelburg, Zoran, Radenović, Stojan   +2 more
openaire   +2 more sources

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

FEBS Letters, EarlyView.
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley   +1 more source

Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology

Journal of Inequalities and Applications, 2021
In this paper, the concept of probabilistic g-metric space with degree l, which is a generalization of probabilistic G-metric space, is introduced. Then, by endowing strong topology, the definition of l-dimensional asymptotic density of a subset A of N l
Rasoul Abazari
doaj   +1 more source

Fixed-circle theorems on \(G\)-metric spaces

, 2023
In this paper, a discussion about the relationship betwee \(G\)-metric in the sense of \textit{Z. Mustafa} and \textit{B. Sims} [J. Nonlinear Convex Anal. 7, No. 2, 289--297 (2006; Zbl 1111.54025)] and \(S\)-metric in the sense of \textit{S. Sedghi} et al. [Mat. Vesn. 64, No. 3, 258--266 (2012; Zbl 1289.54158)] is presented. Then, the authors introduce
Kaplan, Elif, Taş, Nihal
openaire   +2 more sources

A generalization of G-metric spaces and related fixed point theorems [PDF]

Mathematical Inequalities & Applications, 2019
Summary: The idea of \(b\)-metric was proposed from the works of \textit{N. Bourbaki} [Topologie générale. Paris: Hermann (1974; Zbl 0337.54001)] and \textit{I. A. Bakhtin} [Funkts. Anal. 30, 26--37 (1989; Zbl 0748.47048)]. Subsequently, \textit{S. Czerwik} [Acta Math. Inform. Univ. Ostrav.
Jain, Kapil, Kaur, Jatinderdeep
openaire   +1 more source

Design and analysis strategies for robust microbiome ageing research

FEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source

Coincidence Fixed-Point Theorems for p-Hybrid Contraction Mappings in Gb-Metric Space with Application

Abstract and Applied Analysis, 2022
By combining the notions of G-metric space and b-metric space, in this paper, we present coincidence fixed-point theorems for p-hybrid mappings in Gb-metric spaces. An example is given to demonstrate the novelty of our main results.
Lucas Wangwe
doaj   +1 more source

Investigating transcription factor dynamics in health and disease using FRAP

FEBS Letters, EarlyView.
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj, Carolina Vazquez Garzon, Jose Joaquin Velasco, Janine N. Post   +3 more
wiley   +1 more source

Convexity in quasi-metric spaces [PDF]

, 2012
Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
core   +1 more source

Geodesics on the Momentum Phase Space with metric $^{{C}}{g}$

Universal Journal of Mathematics and Applications, 2018
In this paper, a system of the differential equations giving geodesics on the momentum phase space with pseudo Riemann metric $^{C}g$ of a Hamilton space is found by using the Euler Lagrange equations.
İsmet Ayhan
doaj   +1 more source